paper

Liftings and invariant subspaces of Hankel operators

arXiv:2408.13753

Abstract

We prove a Hankel-variant commutant lifting theorem. This also uncovers the complete structure of the Beurling-type reducing and invariant subspaces of Hankel operators. Kernel spaces of Hankel operators play a key role in the analysis.

19 pages. Revised. To appear in Publicacions Matemàtiques